67740 ÷ 7 
The aim is to understand the frequency of 7 in 67740.

Let's proceed to step 1:
7 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 7

Going ahead to step 2:
When dividing 67 by 7, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 4 after subtracting 63 from 67.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 7

Advancing to step 3:
When dividing 47 by 7, we get 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 96.0
Subtracting 42 from 47 leaves us with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Let's proceed to step 4:
7 can be fit into 54 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 967.0
If we subtract 49 from 54, we get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 7

Let's proceed to step 5:
7 goes into 50 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 9677.0
If we take 49 away from 50, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 9677.1
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 9677.14
If we take 28 away from 30, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
When dividing 20 by 7, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 9677.142
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
If we divide 60 by 7, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 9677.1428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 9677.14285
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 9677.142857
Subtracting 49 from 50 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
If we divide 10 by 7, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 9677.1428571
Deduct 7 from 10 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
When dividing 30 by 7, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 9677.14285714
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 9677.14285714 with a remaining 2e-09.